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Finding the Fourth Proportional to 33,931.79, 50,864.58 and 16,157.67

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Solution

The fourth proportional to 33,931.79, 50,864.58 and 16,157.67 is: 24,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,931.79 : 50,864.58 = 16,157.67 : x
  2. Step 2: Convert to fraction form
    33,931.79/50,864.58 = 16,157.67/x
  3. Step 3: Cross multiply
    33,931.79x = 50,864.58 × 16,157.67
  4. Step 4: Simplify right side
    33,931.79x = 821,853,098.33
  5. Step 5: Solve for x
    x = 821,853,098.33/33,931.79
  6. Step 6: Final answer
    x = 24,220.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.